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LIMIT THEOREMS FOR DISPERSING BILLIARDS WITH CUSPS
Dispersing billiards Sinai billiards cusps
2015/9/29
Dispersing billiards with cusps are deterministic dynamical systems with a mild degree of chaos, exhibiting “intermittent” behavior that alternates between regular and chaotic patterns. Their statisti...
Inspired by the work of Pujals and Sambarino on dominated splitting, we present billiards with a modi ed re ection law which constitute simple examples of dynamical systems with limit sets with domina...
Ballistic regime for random walks in random environment with unbounded jumps and Knudsen billiards
cosine law stochastic billiard Knudsen random wal random medium random walk in random environment unbounded
2010/11/26
We consider a random walk in a stationary ergodic environment
in Z, with unbounded jumps. In addition to uniform ellipticity and a bound on the tails of the possible jumps, we assume a condition of s...